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Finding the Fourth Proportional to 208.72, 288.01 and 125.81

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Solution

The fourth proportional to 208.72, 288.01 and 125.81 is: 173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.72 : 288.01 = 125.81 : x
  2. Step 2: Convert to fraction form
    208.72/288.01 = 125.81/x
  3. Step 3: Cross multiply
    208.72x = 288.01 × 125.81
  4. Step 4: Simplify right side
    208.72x = 36,234.54
  5. Step 5: Solve for x
    x = 36,234.54/208.72
  6. Step 6: Final answer
    x = 173.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.